Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5258 and 5259 the smallest integer that is 27651822 that is divisible by both numbers.
Least Common Multiple (LCM) of 5258 and 5259 is 27651822.
LCM(5258,5259) = 27651822
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5258 and 5259. First we will calculate the prime factors of 5258 and 5259.
Prime Factorization of 5258
2 | 5258 |
11 | 2629 |
239 | 239 |
1 |
Prime factors of 5258 are 2, 11,239. Prime factorization of 5258 in exponential form is:
5258 = 21×111×2391
Prime Factorization of 5259
3 | 5259 |
1753 | 1753 |
1 |
Prime factors of 5259 are 3,1753. Prime factorization of 5259 in exponential form is:
5259 = 31×17531
Now multiplying the highest exponent prime factors to calculate the LCM of 5258 and 5259.
LCM(5258,5259) = 21×31×111×2391×17531
LCM(5258,5259) = 27651822
Factors of 5258
List of positive integer factors of 5258 that divides 5258 without a remainder.
1, 2, 11, 22, 239, 478, 2629, 5258
Factors of 5259
List of positive integer factors of 5259 that divides 5259 without a remainder.
1, 3, 1753, 5259
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5258 and 5259, than apply into the LCM equation.
GCF(5258,5259) = 1
LCM(5258,5259) = ( 5258 × 5259) / 1
LCM(5258,5259) = 27651822 / 1
LCM(5258,5259) = 27651822
(i) The LCM of 5259 and 5258 is associative
LCM of 5258 and 5259 = LCM of 5259 and 5258
1. What is the LCM of 5258 and 5259?
Answer: LCM of 5258 and 5259 is 27651822.
2. What are the Factors of 5258?
Answer: Factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258. There are 8 integers that are factors of 5258. The greatest factor of 5258 is 5258.
3. What are the Factors of 5259?
Answer: Factors of 5259 are 1, 3, 1753, 5259. There are 4 integers that are factors of 5259. The greatest factor of 5259 is 5259.
4. How to Find the LCM of 5258 and 5259?
Answer:
Least Common Multiple of 5258 and 5259 = 27651822
Step 1: Find the prime factorization of 5258
5258 = 2 x 11 x 239
Step 2: Find the prime factorization of 5259
5259 = 3 x 1753
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27651822 = 2 x 3 x 11 x 239 x 1753
Step 4: Therefore, the least common multiple of 5258 and 5259 is 27651822.